Highest Common Factor of 851, 527, 731 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 851, 527, 731 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 851, 527, 731 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 851, 527, 731 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 851, 527, 731 is 1.

HCF(851, 527, 731) = 1

HCF of 851, 527, 731 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 851, 527, 731 is 1.

Highest Common Factor of 851,527,731 using Euclid's algorithm

Highest Common Factor of 851,527,731 is 1

Step 1: Since 851 > 527, we apply the division lemma to 851 and 527, to get

851 = 527 x 1 + 324

Step 2: Since the reminder 527 ≠ 0, we apply division lemma to 324 and 527, to get

527 = 324 x 1 + 203

Step 3: We consider the new divisor 324 and the new remainder 203, and apply the division lemma to get

324 = 203 x 1 + 121

We consider the new divisor 203 and the new remainder 121,and apply the division lemma to get

203 = 121 x 1 + 82

We consider the new divisor 121 and the new remainder 82,and apply the division lemma to get

121 = 82 x 1 + 39

We consider the new divisor 82 and the new remainder 39,and apply the division lemma to get

82 = 39 x 2 + 4

We consider the new divisor 39 and the new remainder 4,and apply the division lemma to get

39 = 4 x 9 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 851 and 527 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(39,4) = HCF(82,39) = HCF(121,82) = HCF(203,121) = HCF(324,203) = HCF(527,324) = HCF(851,527) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 731 > 1, we apply the division lemma to 731 and 1, to get

731 = 1 x 731 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 731 is 1

Notice that 1 = HCF(731,1) .

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Frequently Asked Questions on HCF of 851, 527, 731 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 851, 527, 731?

Answer: HCF of 851, 527, 731 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 851, 527, 731 using Euclid's Algorithm?

Answer: For arbitrary numbers 851, 527, 731 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.